Question
Solve the equation
x=−1295×128
Alternative Form
x≈−0.907307
Evaluate
4×3x4×x5=−5
Multiply
More Steps

Evaluate
4×3x4×x5
Multiply the terms
12x4×x5
Multiply the terms with the same base by adding their exponents
12x4+5
Add the numbers
12x9
12x9=−5
Divide both sides
1212x9=12−5
Divide the numbers
x9=12−5
Use b−a=−ba=−ba to rewrite the fraction
x9=−125
Take the 9-th root on both sides of the equation
9x9=9−125
Calculate
x=9−125
Solution
More Steps

Evaluate
9−125
An odd root of a negative radicand is always a negative
−9125
To take a root of a fraction,take the root of the numerator and denominator separately
−91295
Multiply by the Conjugate
912×9128−95×9128
The product of roots with the same index is equal to the root of the product
912×9128−95×128
Multiply the numbers
More Steps

Evaluate
912×9128
The product of roots with the same index is equal to the root of the product
912×128
Calculate the product
9129
Reduce the index of the radical and exponent with 9
12
12−95×128
Calculate
−1295×128
x=−1295×128
Alternative Form
x≈−0.907307
Show Solution
